Could you answer the following multiple choice questions?
Question: A cause-effect diagram is used in which of the following phases?
- AThe open phase
- BThe narrowing phase
- CThe close phase
- DThe decision phase
Question: When the null hypothesis contains an equal sign, ___________.
- AThe hypothesis test has two tails (or rejection regions)
- BThe alternative hypothesis contains a "not equal to" sign
- CIt can be rejected by the test statistic being significantly large or small
- DAll of the above
Question: The chi-square distribution is ____________.
- A Bell shaped
- B Bimodal
- C Level
- D Skewed
Question: According to the Theory of Constraints, what is the goal of a company?
- A To increase sales
- B To decrease costs
- C To make money
- D To increase quality
Question: Which of the following statements is MOST correct?
- A If "r" is greater than "1", there is a positive correlation
- B If "r" is less than one, there is a negative correlation
- C If "r" is less than one, but greater than 0, there is a positive correlation
- D If "r" is a negative number, there is a negative correlation
Question: A salesman enters a food-processing facility and claims that his new juice box filling machine can save the company money, because he is 95% confident it has less variation from the nominal setting than the company's current machine. A random sample of 25 juice boxes from the salesman's machine yields a standard deviation of 0.09 ounce. A random sample of 16 juice boxes from the company's current machine yields a standard deviation of 0.13 ounce. What can we conclude?
- A The salesman is correct. We can say with 95% confidence that his machine has less variation from the nominal setting than the company's current machine
- B The salesman may be correct. It is not possible to prove he is correct, but indications are that his machine has less variation from the nominal setting than the company's current machine
- C We cannot show that the salesman is incorrect. We cannot prove that he is wrong, but indications are that the company's machine has the same variation as the salesman's machine
- D The salesman is incorrect. We cannot say with 95% confidence that the salesman's machine has less variation from the nominal setting than the company's current machine
Question: A company wanted to know if a special gas additive truly (and significantly) affected the gas mileage in their company vehicles. Use the data below to determine whether or not the additive significantly affected gas mileage.
- A Yes, because the T-statistic of 3.125 exceeded the T-critical value of 2.365
- B Yes, because the T-statistic of 4.51 exceeded the T-critical value of 2.365
- C No, because the T-statistic of 0.563 failed to exceed the T-critical value of 2.365
- D Yes, because the T-critical value is 1.895